The ideal limit of rhombohedral graphene: Dynamical skyrmion lattices and their excitations

arXiv:2511.07402 · cond-mat.mes-hall, cond-mat.str-el · Submitted 2025-11-10 · Read on arXiv

cond-mat.mes-hall, cond-mat.str-el

Submitted: 2025-11-10

Updated: 2026-10-21

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Berry Curvature — 18× in this paper · explained in 5 episodes
• Core — 13× in this paper · explained in 2 episodes
• Trace — 13× in this paper · explained in 2 episodes
• Flat Band — 12× in this paper · explained in 2 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Polarization — 4× in this paper · explained in 2 episodes
• Time-dependent Hartree-Fock — 4× in this paper
• Winding Number — 4× in this paper · explained in 2 episodes
• Chern Number — 3× in this paper · explained in 4 episodes
• Degeneracy — 3× in this paper · explained in 4 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Phase Transition — 2× in this paper · explained in 3 episodes
• Quantization — 2× in this paper · explained in 15 episodes
• Redundancy — 2× in this paper · explained in 2 episodes
• Valley Polarization — 2× in this paper · explained in 2 episodes
• AUC — 1× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Clarity — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 14 episodes
• Generator — 1× in this paper · explained in 2 episodes
• Hexagonal Boron Nitride — 1× in this paper
• Hubbard Model — 1× in this paper · explained in 5 episodes
• Momentum transfer — 1× in this paper · explained in 2 episodes
• Parameterization — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Physical Constraints — 1× in this paper · explained in 7 episodes
• Quantum fluctuations — 1× in this paper · explained in 2 episodes
• Self-Consistency — 1× in this paper · explained in 3 episodes
• Symmetry Breaking — 1× in this paper · explained in 4 episodes
• Unified Framework — 1× in this paper · explained in 6 episodes

Sources

• Ideal Optical Flux Lattices
• Emergent topology of flat bands in a twisted bilayer $\alpha$-$T_3$ lattice
• Does Moire Matter? Critical Moire Dependence with Quantum Fluctuations in Graphene Based Integer and Fractional Chern Insulators
• Extended Fractional Chern Insulators Near Half Flux in Twisted Bilayer Graphene Above the Magic Angle
• Field-tuned and zero-field fractional Chern insulators in magic angle graphene
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Correlation stabilized anomalous Hall crystal in bilayer graphene
• Non-Abelian Chern band in rhombohedral graphene multilayers
• "Berry Trashcan" Model of Interacting Electrons in Rhombohedral Graphene
• Elastic Response and Instabilities of Anomalous Hall Crystals
• General Many-Body Perturbation Framework for Moir'e Systems
• Topological constraint on crystalline current
• Continuously tunable anomalous Hall crystals in rhombohedral heptalayer graphene
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The $\lambda_N$-Jellium model
• $\lambda$-Jellium Model for the Anomalous Hall Crystal
• Imaging the Sub-Moir'e Potential Landscape using an Atomic Single Electron Transistor
• hBN alignment orientation controls moir'e strength in rhombohedral graphene
• Mapping the moir'e potential in multi-layer rhombohedral graphene
• Moir'e enhanced flat band in rhombohedral graphene

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